Generalized Vertex Algebras and Relative Vertex Operators, Chongying Dong; James Lepowsky
Автор: J. Lepowsky; S. Mandelstam; I.M. Singer Название: Vertex Operators in Mathematics and Physics ISBN: 1461395526 ISBN-13(EAN): 9781461395522 Издательство: Springer Рейтинг: Цена: 16979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: According to the standard approach of Lie theory, one looks for infinitesimal symmetry -- Lie algebras of operators or concrete realizations of abstract Lie algebras.
Автор: Francesco Villa Название: Vertex Detectors ISBN: 0306427982 ISBN-13(EAN): 9780306427985 Издательство: Springer Рейтинг: Цена: 36197.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It has been widely recognized that the "new physics" results from a high energy collider are related to the detector capabilities, and that future detec- tors must solve the problems presented by the new environment. Vertex detectors, in particular, will have to sustain enormous rates, have a great resistance to radiation damage, while retaining good spatial accuracy. Promising technologies are emerging, and gaseous detectors are improving: this workshop was intended as a point of reference towards future detectors, with particular emphasis on experimental results achieved so far. We wish to thank the Ettore Majorana Center for the splendid hospitality in Erice; and the secretaries of the conference, R. Nania and G. Anzivino for their hard work in collecting and organizing these proceedings. F. Villa Stanford Linear Accelerator Center Stanford University v CONTENTS Tracking at 1 Te V A. Seiden ..... 1 B Physics at PEP and SLC A. Seiden ........ . 19 The MARK II Vertex Detectors: Status and Prospects J. Jaros 37 The Mark-J Vertex Detector H. Anderhub et al., presented by M. Bourquin 71 A Modified Time Expansion Chamber as a Vertex Detector et al., presented by C. Del Papa . . . . . . . . . 95 G. Bari Operation of Multidrift Tubes with Dimethyl Ether R. BoucHer et al., Presented by F. SauH . . ...... 101 Results From the MACI Vertex Chamber H. N. Nelson . . . . . . . . . . . ........... . 115 Wire Chamber Aging and Wire Material M. Atac ............. .
The field of vertex operator algebras is an active area of research and plays an integral role in infinite-dimensional Lie theory, string theory, and conformal field theory, and other subdisciplines of mathematics and physics. This book begins with a careful presentation of the theoretical foundations of vertex operator algebras and their modules, and then proceeds to a range of applications. The text features new, original results and a fresh perspective on the important works of many researchers; in particular, it provides a detailed treatment of the concept of a representation'' of a vertex (operator) algebra. Requiring only a familiarity with basic algebra, this broad, self-contained treatment of the core topics in vertex algebras will appeal to graduate students and researchers in both mathematics and physics.
Описание: Vertex algebra was introduced by Boreherds, and the slightly revised notion "vertex oper- ator algebra" was formulated by Frenkel, Lepowsky and Meurman, in order to solve the problem of the moonshine representation of the Monster group - the largest sporadie group. On the one hand, vertex operator algebras ean be viewed as extensions of eertain infinite-dimensional Lie algebras such as affine Lie algebras and the Virasoro algebra. On the other hand, they are natural one-variable generalizations of commutative associative algebras with an identity element. In a certain sense, Lie algebras and commutative asso- ciative algebras are reconciled in vertex operator algebras. Moreover, some other algebraie structures, such as integral linear lattiees, Jordan algebras and noncommutative associa- tive algebras, also appear as subalgebraic structures of vertex operator algebras. The axioms of vertex operator algebra have geometrie interpretations in terms of Riemman spheres with punctures. The trace functions of a certain component of vertex operators enjoy the modular invariant properties. Vertex operator algebras appeared in physies as the fundamental algebraic structures of eonformal field theory, whieh plays an important role in string theory and statistieal meehanies. Moreover, eonformalfieldtheoryreveals animportantmathematiealproperty, the so called "mirror symmetry" among Calabi-Yau manifolds. The general correspondence between vertex operator algebras and Calabi-Yau manifolds still remains mysterious. Ever since the first book on vertex operator algebras by Frenkel, Lepowsky and Meur- man was published in 1988, there has been a rapid development in vertex operator su- peralgebras, which are slight generalizations of vertex operator algebras.
Описание: Presents a study on the structures of vertex operator superalgebras and their modules. This book includes related theories of self-dual codes and lattices, as well as achievements on classifications of certain simple vertex operator superalgebras and their irreducible twisted modules.
Автор: Hirotaka Tamanoi Название: Elliptic Genera and Vertex Operator Super-Algebras ISBN: 3540660062 ISBN-13(EAN): 9783540660064 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph deals with two aspects of the theory of elliptic genus: its topological aspect involving elliptic functions, and its representation theoretic aspect involving vertex operator super-algebras.
Автор: Francesco Villa Название: Vertex Detectors ISBN: 1489925473 ISBN-13(EAN): 9781489925473 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The theory of vertex operator algebras and their representations has been showing its power in the solution of concrete mathematical problems and in the understanding of conceptual but subtle mathematical and physical struc- tures of conformal field theories. Much of the recent progress has deep connec- tions with complex analysis and conformal geometry. Future developments, especially constructions and studies of higher-genus theories, will need a solid geometric theory of vertex operator algebras. Back in 1986, Manin already observed in Man) that the quantum theory of (super )strings existed (in some sense) in two entirely different mathematical fields. Under canonical quantization this theory appeared to a mathematician as the representation theories of the Heisenberg, Vir as oro and affine Kac- Moody algebras and their superextensions. Quantization with the help of the Polyakov path integral led on the other hand to the analytic theory of algebraic (super ) curves and their moduli spaces, to invariants of the type of the analytic curvature, and so on. He pointed out further that establishing direct mathematical connections between these two forms of a single theory was a "big and important problem. " On the one hand, the theory of vertex operator algebras and their repre- sentations unifies (and considerably extends) the representation theories of the Heisenberg, Virasoro and Kac-Moody algebras and their superextensions.
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